968643456 has 128 divisors (see below), whose sum is σ = 2872679040. Its totient is φ = 286648320.

The previous prime is 968643443. The next prime is 968643457. The reversal of 968643456 is 654346869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 968643399 and 968643408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968643457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178966 + ... + 184298.

It is an arithmetic number, because the mean of its divisors is an integer number (22442805).

Almost surely, 2^968643456 is an apocalyptic number.

968643456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436339520).

968643456 is an abundant number, since it is smaller than the sum of its proper divisors (1904035584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

968643456 is a wasteful number, since it uses less digits than its factorization.

968643456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404 (or 5392 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The square root of 968643456 is about 31123.0373839058. The cubic root of 968643456 is about 989.4366267157.

The spelling of 968643456 in words is "nine hundred sixty-eight million, six hundred forty-three thousand, four hundred fifty-six".